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Chapter 22.1

Trek (4.1)    Lingling's clear apricot-core eyes, the pupils, larger than normal, just like a kitten, staring at him angrily.       Lin Si was amused by the scene: "Why do you say that?"       Ling Yi: "Don't talk to me!"       Lin Si laughed.       He seldom laughs, even if he laughs, there is only a little smile in his eyes and very few sounds.    It was a very light sound, which seemed to come from the chest cavity. It was very nice. Ling Yi was very sensitive to this sound. His whole body trembled, and the tips of his ears were hot, and then he threw himself on Lin Si a few times in annoyance.       Lin Si held him down, but he didn't pat his hair for a while.       Ling Yi ignored him stiffly.    The colonel's snake ate his tail by himself. He was very angry. He stopped the game and looked up to the front. Seeing that the two people rolled into a ball again, they obviously had nothing to do with themselves. He pouted and started another round.       Ling Yi had a very comfortable time on the spacecraft, but after returning to the sixth area, he found that this was not the case.       Lin Si sent the new information to his communicator.       "You should learn calculus." Lin Si said.       Ling Yi quickly flipped through the information warily.      ——A lot, but very complicated. "When we left the earth, higher education was universal, but most people's calculus level seemed to be not good." When Lin Si spoke, he frowned. It seemed that he could not understand the situation, but he quickly recovered his expressionless face: "So I decided not to let you teach yourself. Every night, I will teach you myself. The beginning of calculus is the limit. This is the content of tonight."       One hour passed.       Ling Yi's eyes were dull.       Lin Si used a ballpoint pen to write beautiful and smooth lines of handwriting on the snow-white paper.      It was very beautiful, but the content is the opposite—at least in Ling Yi's eyes.       Lin Si wrote a line and said: "This is infinity."       Ling Yi looked at the Greek letter that looked like the number 3 turned upside down, his eyes a little distressed.       Lin Si said: "Recall the infinitesimal again."    "For an arbitrary, very, very small positive number, there is always another positive number. When... the distance between the independent variable and a constant is less than this positive number, the function value is less than the first positive number. Count, and then... the value of this function is called the infinitesimal amount when the independent variable tends to this constant." After he finished speaking, he blinked in confusion.       Lin Si asked: "Can you understand it?"       Ling Yi nodded first, then shook his head: "Why don't you just say that it is smaller than any number?"    "Because 'Smaller than any number' is a natural language, not a mathematical language," Lin Si explained, "If science wants to develop freely, it must get rid of the interruption of philosophy and theology. These metaphysical disciplines always try to be in natural language. Find out the loopholes and use them as weapons to attack natural sciences. For example, they think that the addition of one-third and two-thirds is equal to one, which is not the same as the zero-point nine infinite loop obtained by adding decimal forms, so mathematics is unreliable." He looked at Ling Yi’s seemingly understanding and non-understanding expression, and continued: "This is a very old paradox. Another paradox similar to it but more complicated is called Zeno’s paradox. You can go to the information Library search. Zeno’s paradox directly caused the second mathematical crisis in the seventeenth century. Until the precise definition of infinitesimal—that is, the words you repeated just now, the paradox was resolved, the crisis was lifted, and the calculus became one. The discipline is no longer bound by other things, and science has begun to develop rapidly. Therefore, this sentence cannot be replaced by 'smaller than any number'. Its significance is very significant, and it has opened an entire era of mathematics."    "The same goes for the voyage of the voyager. We hope that everything is precise and strictly defined. Mrs. Chen never uses her own experience and speculation to decide what the spacecraft should do. She only uses mathematical models to calculate the probability distribution, so during her leadership period, our voyage has never been in accidents due to the wrong decision of the leader—the previous generations of leaders have made some mistakes."       Ling Yi frowned, and read the definition of the ghost language written in the phrase "Epsilon Delta" over and over several times.


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